diff options
Diffstat (limited to 'Master/texmf-dist/doc/latex/spectralsequences/examples/example_anss3.tex')
-rw-r--r-- | Master/texmf-dist/doc/latex/spectralsequences/examples/example_anss3.tex | 88 |
1 files changed, 88 insertions, 0 deletions
diff --git a/Master/texmf-dist/doc/latex/spectralsequences/examples/example_anss3.tex b/Master/texmf-dist/doc/latex/spectralsequences/examples/example_anss3.tex new file mode 100644 index 00000000000..b3d801acf6b --- /dev/null +++ b/Master/texmf-dist/doc/latex/spectralsequences/examples/example_anss3.tex @@ -0,0 +1,88 @@ +%% +%% Package: spectralsequences.sty version 1.0 +%% Author: Hood Chatham +%% Email: hood@mit.edu +%% Date: 2017-06-18 +%% License: Latex Project Public License +%% +%% File: example_anss3.tex +%% +%% Draws the Adams Novikov spectral sequence at the prime 3 through the 45 stem. +%% In this range, all we see is the Toda differential d_{2p-1}(\beta_{p/p}) = \alpha\beta^p +%% Thanks to Eric Peterson for contributing this diagram. +%% + +\documentclass{article} +\usepackage{spectralsequences} +\usepackage[landscape]{geometry} +\begin{document} +% tower definitions +\NewSseqCommand\alphaclass{d()}{ + \IfNoValueTF{#1}{}{\pushstack(#1)} + \class(\lastx+3,\lasty+1) + \structline(\lastclass)(\lastclass1) +} + +\NewSseqCommand\betaclass{d()}{ + \IfNoValueTF{#1}{}{\pushstack(#1)} + \class(\lastx+7,\lasty+1) + \structline(\lastclass)(\lastclass1) +} + +\begin{sseqpage}[ + Adams grading, + classes = { tooltip = {(\xcoord,\ycoord)} }, + class labels = above left, + label distance=3pt, + differentials={-{>[width=4]}, target anchor=-60}, + y range={0}{10}, + x range={0}{45}, + x tick step=5, + xscale=0.375 +] +\class[rectangle,fill,inner sep=3pt](0,0) + +\class["\alpha_1"](3,1) \structline(0,0)(3,1) +\class["\alpha_2"](7,1) +\class[circlen=2,"\alpha_{3/2}"](11,1) +\class["\alpha_4"](15,1) +\class["\alpha_5"](19,1) +\class[circlen=2,"\alpha_{6/2}"](23,1) +\class["\alpha_7"](27,1) +\class["\alpha_8"](31,1) +\class[circlen=3,"\alpha_{9/3}"](35,1) +\class["\alpha_{10}"](39,1) +\class["\alpha_{11}"](43,1) + +\class["\beta_1"](10,2) \structline(3,1)(10,2) +\class["\beta_2"](26,2) +\class["\beta_{3/3}" {xshift = -2pt, yshift=-2pt}](34,2) +\class["\beta_{3/2}"](38,2) +\class["\beta_3"](42,2) + +% tower off of beta_1 +\alphaclass(10,2)\betaclass +\alphaclass\betaclass +\alphaclass\betaclass +\alphaclass\betaclass + +% tower off of beta_2 +\alphaclass(26,2)\betaclass +\alphaclass\betaclass +\alphaclass + + +% tower off of beta_3/3 +\alphaclass(34,2)\betaclass +\alphaclass\betaclass + +% tower off of beta_3 +\class[fill,circlen=2](45,3) \structline(42,2,-1)(45,3,-1) +\betaclass + +% d5s +\d5(34,2) +\d5(44,4) +\end{sseqpage} + +\end{document}
\ No newline at end of file |